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1120961664 = 2732973057
BaseRepresentation
bin100001011010000…
…1000010010000000
32220010021202022200
41002310020102000
54243431233124
6303122033200
736531005544
oct10264102200
92803252280
101120961664
115258320a9
122734a8800
1314b30ca34
14a8c37a24
1568626bc9
hex42d08480

1120961664 has 48 divisors (see below), whose sum is σ = 3225687270. Its totient is φ = 373653504.

The previous prime is 1120961663. The next prime is 1120961671. The reversal of 1120961664 is 4661690211.

1120961664 is a `hidden beast` number, since 11 + 20 + 9 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1104897600 + 16064064 = 33240^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1120961663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 485377 + ... + 487680.

Almost surely, 21120961664 is an apocalyptic number.

It is an amenable number.

1120961664 is an abundant number, since it is smaller than the sum of its proper divisors (2104725606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120961664 is an equidigital number, since it uses as much as digits as its factorization.

1120961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973077 (or 973062 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1120961664 is about 33480.7655826446. The cubic root of 1120961664 is about 1038.7959635941.

The spelling of 1120961664 in words is "one billion, one hundred twenty million, nine hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 973057 1946114 2919171 3892228 5838342 7784456 8757513 11676684 15568912 17515026 23353368 31137824 35030052 46706736 62275648 70060104 93413472 124551296 140120208 186826944 280240416 373653888 560480832 1120961664